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LV motion estimation based on the integration of continuum mechanics and estimation theory

机译：基于连续式力学与估计理论集成的LV运动估计

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This paper presents a scheme based on the integration of continuum mechanics and estimation theory to characterize the complex nonrigid motion of the left ventricle (LV) over a sequence of 3D images. The proposed scheme is implemented in a hierarchical fashion so that both the global and local motion and deformation can be analyzed. First, global motion and deformation are analyzed and compensated by applying the 'Chen surface' modeling. Parametric representation of left ventricle surfaces are also obtained based on the segmented 3D images. Then, we develop a local motion estimation model assuming that thin slice of endocardium surface can be considered as an incompressible medium and can be characterized by the constraint of incompressibility derived from continuum mechanics. This constraint of continuum mechanics is integrated with the correlation functions derived from the estimation theory. The correlation functions are computed from the original intensity images and can be used to measure confidence of the estimation. An overall objective function can therefore be constructed as the weighted sum of the incompressibility and a motion discontinuity-preserving smoothness constraint with the corresponding correlation functions. The optimal estimation of the local deformation is obtained by minimizing this objective function. Since the proposed scheme is based on a physics model, the results are therefore more consistent with the heart function. This integrated scheme allows the point correspondences to depart slightly from the manually segmented surfaces in the region of strong uncertainty. The proposed scheme is able to generate consistent 3D motion vectors for a sequence of cardiac images. Three-dimensional visualization of the displacements is also investigated.
机译：本文介绍了基于连续式力学和估计理论的集成的方案，以表征左心室（LV）在一系列3D图像上的复杂非脂肪运动。所提出的方案以分层方式实施，以便可以分析全局和局部运动和变形。首先，通过应用“陈表面”建模来分析和补偿全局运动和变形。还基于分段的3D图像获得左心室表面的参数表示。然后，我们开发局部运动估计模型，假设可以认为内膜表面薄片可以被认为是不可压缩的介质，并且可以通过从连续力学得出的不可压缩性的约束来表征。连续力学的这种约束与估计理论导出的相关函数集成。相关函数从原始强度图像计算，并且可用于测量估计的置信度。因此，整体目标函数可以构造成具有相应相关函数的不可压缩性的加权之和和运动不连续性保持平滑度约束。通过最小化该目标函数来获得局部变形的最佳估计。由于所提出的方案基于物理模型，因此结果与心脏功能更加一致。这种集成方案允许点对应关系从强不确定性区域的手动分段表面略微偏离。所提出的方案能够为一系列心脏图像生成一致的3D运动矢量。还研究了位移的三维可视化。

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